This paper studies the existence of nontrival homoclinic orbits of the Hamiltonian systems q̈ - L(t)q + V'(t, q) = 0 by using the critical point theory, where the potential V(t, q) = b(t)W(q) can change sign. Under a new kind of "superquadratic" condition on W, some new results are obtained.
|Original language||English (US)|
|Number of pages||8|
|Journal||Chinese Annals of Mathematics. Series B|
|State||Published - Dec 1 1996|
- Critical point theory
- Hamiltonian system
- Homoclinic orbit